The locus of a point is the set of all positions that the point can occupy where it satisfies some defining function.
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The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
The center isn't the locus, and a point on the circumference isn't the locus.The whole circumference of the circle is the locus.It's the locus of all points that have the same distance from the center of the circle.
A circle
The locus of all points that are a given distance from a given point of origin is a circle.To draw this, use a compass set to 2in and centered on the point of origin. Graph paper is recommended.